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Credit Crises, Precautionary Savings, and the Liquidity Trap

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Credit Crises, Precautionary Savings, and the Liquidity Trap NBER WORKING PAPER SERIES CREDIT CRISES, PRECAUTIONARY SAVINGS, AND THE LIQUIDITY TRAP Veronica Guerrieri Guido Lorenzoni Working Paper 17583 http://www.nber.org/papers/w17583 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 November 2011 We thank Bob Hall and John Leahy for their useful discussions and for numerous exchanges. For helpful comments, we are grateful to Andy Atkeson, Chris Carroll, V. V. Chari, Vasco Curdia, Greg Kaplan, Juan Pablo Nicolini, Thomas Philippon, Valery Ramey, Rob Shimer, Nancy Stokey, Amir Sufi, Gianluca Violante, Iván Werning, Mike Woodford, Pierre Yared, and numerous seminar participants. Adrien Auclert and Amir Kermani provided outstanding research assistance. Guerrieri thanks the Sloan Foundation for financial support and the Federal Reserve Bank of Minneapolis for its hospitality. Lorenzoni thanks the NSF for financial support and Chicago Booth and the Becker Friedman Institute for their hospitality. The views expressed herein are those of the authors and do not necessarily reflect the views of the National Bureau of Economic Research. NBER working papers are circulated for discussion and comment purposes. They have not been peer- reviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications. © 2011 by Veronica Guerrieri and Guido Lorenzoni. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Credit Crises, Precautionary Savings, and the Liquidity Trap Veronica Guerrieri and Guido Lorenzoni NBER Working Paper No. 17583 November 2011 JEL No. E2,E4 ABSTRACT We study the effects of a credit crunch on consumer spending in a heterogeneous-agent incomplete-market model. After an unexpected permanent tightening in consumers’ borrowing capacity, some consumers are forced to deleverage and others increase their precautionary savings. This depresses interest rates, especially in the short run, and generates an output drop, even with flexible prices. The output drop is larger with nominal rigidities, if the zero lower bound prevents the interest rate from adjusting downwards. Adding durable goods to the model, households take larger debt positions and the output response may be larger. Veronica Guerrieri University of Chicago Booth School of Business 5807 South Woodlawn Avenue Chicago, IL 60637 and NBER [email protected] Guido Lorenzoni MIT Department of Economics E52-251C 50 Memorial Drive Cambridge, MA 02142-1347 and NBER [email protected] 1 Introduction How does an economy adjust from a regime of easy credit to one of tight credit? Suppose it is relatively easy for consumers to borrow and the economy is in a stationary state with a stable distribution of borrowing and lending positions. An unexpected shock hits the financial system and borrowing gets harder in terms of tighter borrowing limits and/or in terms of higher credit spreads. The most indebted consumers need to readjust towards lower levels of debt (delevaraging). Since the debtor position of one agent is the creditor position of another, this also means that lenders have to reduce their holdings of financial claims. How are the spending decisions of borrowers and lenders affected by this economy-wide financial adjustment? What happens to aggregate activity? How long does the adjustment last? In this paper, we address these questions, focusing on the response of the household sector, using a workhorse Bewley (1977) model in which households borrow and lend to smooth transitory income fluctuations. Since the model cannot be solved analytically, our approach is to obtain numerical results under plausible parametrizations and then to explore the mechanism behind them. The model captures two channels in the con- sumers’ response to a reduction in their borrowing capacity. First, a direct channel, by which constrained borrowers are forced to reduce their indebtedness. Second, a pre- cautionary channel, by which unconstrained agents increase their savings as a buffer against future shocks. Both channels increase net lending in the economy, so the equi- librium interest rate has to fall in equilibrium. Our analysis leads to two sets of results. First, we look at interest rate dynamics and show that they are characterized by a sharp initial fall followed by a gradual adjustment to a new, lower steady state. The reason for this interest rate overshooting is that, at the initial asset distribution, the agents at the lower end of the distribution try to adjust faster towards a higher savings target. So the initial increase in net lending is stronger. To keep the asset market in equilibrium, interest rates have to fall sharply. As the asset distribution converges to the new steady state the net lending pressure subsides and the interest rate moves gradually up. Second, we look at the responses of aggregate activity. Overly indebted agents can adjust in two ways: by spending less and by working more. In our model they do both, 1 so, for a given interest rate, the credit shock would lead to a reduction in consumer spending and to an increase in labor supply. Whether a recession follows depends on the relative strength of these two forces and on the interest rate elasticity of consumption and labor supply. In our baseline calibration, the consumption side dominates and out- put declines. As for the case of interest rates, the contraction is stronger in the short run, when the distribution of asset holdings is far from its new steady state and some agents are far below their savings target. A tightening of the credit limit that reduces household debt-to-GDP by 10 percentage points generates a 1% drop in output on impact. We then add nominal rigidities to the model. In presence of nominal rigidities, the zero lower bound on the nominal interest rate means that the central bank may be unable to achieve the real interest rate that replicates the flexible price allocation. Moreover, with nominal rigidities, aggregate activity is purely driven by the response of consumer demand. Therefore, when the zero lower bound is binding the households’ net saving pressure translates into a larger output drop. Finally, we generalize the model to include durable consumption goods, which can be used as collateral. In this extension, households face a richer portfolio choice as they can invest in liquid bonds or in durable goods. To make bonds and durables imperfect substitutes, we assume a proportional cost of re-selling durables, so that durables are less liquid. After a credit crunch, net borrowers are forced to delevarage and have to reduce consumption of durable and non-durable goods. On the other hand, the pre- cautionary motive induces net lenders to save more by accumulating both bonds and durables. Durable purchases may increase or decrease, depending on the strength of these two effects. In our calibration, the net effect depends on the nature of the shock. A pure shock to the credit limit affects only borrowers close to the limit, so the lenders’ side dominates and durable purchases increase. A shock to credit spreads, on the other hand, affects a larger fraction of borrowers, leading to a contraction in durable purchases. Here the output effects can be large, leading to a 4% drop in consumption following a transi- tory shock that raises the spread on a one year loan from 1% to 3.8%. The consumption drop can be as large as 10% if prices are fixed and the zero lower bound is binding. Our paper focuses on households’ balance sheets adjustment and consumer spend- ing and is complementary to a growing literature that looks at the effects of credit shocks 2 on firms’ balance sheets and investment spending.1 Hall (2011a, 2011b) argues that the response of the household sector to the credit tightening is an essential ingredient to ac- count for the recent U.S. recession. Mian and Sufi (2011a, 2011b) use cross-state evidence to argue that the contraction in households’ borrowing capacity, mainly driven by a de- cline in house prices, was responsible for the fall in consumer spending and, eventually, for the increase in unemployment. Our model aims to capture the effects of a similar contraction in households’ borrowing capacity in general equilibrium. In modeling the household sector, we follow the vast literature on consumption and saving in incomplete market economies with idiosyncratic income uncertainty, going back to Bewley (1977), Deaton (1991), Huggett (1993), Aiyagari (1994), Carroll (1997).2 Our approach is to compute the economy’s transitional dynamics after a one-time, un- expected aggregate shock. This relates our paper to recent contributions that look at transitional dynamics after different types of shocks.3 Much work on business cycles in economies with heterogenous agents and incomplete markets, follows Krusell and Smith (1998) and looks at approximate equilibria in which prices evolve as functions of a finite set of moments of the wealth distribution. Here, we prefer to keep the entire wealth distribution as a state variable at the cost of focusing on a one time shock, be- cause our shock affects very differently agents in different regions of the distribution.4 Midrigan and Philippon (2011) take a different (and complementary) approach to mod- eling the effects of a credit crunch on the household sector. They use a cash-in-advance model to explore the idea that credit access, as money, is needed to facilitate transac- tions. Finally, our model with durables is related to Carroll and Dunn (1997), an early paper that uses an heterogenous agent, incomplete market model with durable and non- durable goods to look at the dynamics of consumer debt and spending following a shock 1Classic models of the role of firms’ balance sheets are Kiyotaki and Moore (1997) and Bernanke, Gertler, and Gilchrist (1999). Recent contributions include Jermann and Quadrini (2009), Brunnermeier and Sannikov (2010), Gertler and Kiyotaki (2010), Khan and Thomas (2010), Buera and Moll (2011), Del Negro, Eggertsson, Ferrero, and Kiyotaki (2011), Cagetti, De Nardi, and Bassetto (2011).
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